If the product of the zeros of the polynomial kx²- 11x - 30 is 2, then the value of k is * a) -11 b) 30 c) -15 d) 11
Answers
Answer:
your answer is -15 .. HAVE NICE DAY ....
Concept:
The polynomial equations of degree two in one variable of type f(x) = ax² + bx + c = 0 and with a, b, c, and R R and a 0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" for the absolute term of f. (x). The roots of the quadratic equation are the values of x that fulfil the equation (α,β ).
It is a given that the quadratic equation has two roots. Roots might have either a real or imaginary in nature.
Sum of roots =α+β=-b/a
Product of roots:αβ=c/a
Given:
If the product of the zeros of the polynomial kx²- 11x - 30 is 2,
Find:
Find value of k
Solution:
αβ=-30/a
α+β=11/k
As per question,
-30/k=2
⇒k=-15
Therefore the answer is option C k=-15
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